GCF/Factoring

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What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

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How do you find the GCF of two algebraic expressions?

Back

1. Factor each expression into its prime factors. 2. Identify the common factors. 3. Multiply the common factors to find the GCF.

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Back

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What is the first step in factoring a polynomial?

Back

Look for the GCF of all the terms in the polynomial.

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Back

$$(x - 10)(x - 5)$$.

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What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

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Front

What is the GCF of 28ab and 42b?

Back

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$$(4x - 5)(2x - 1)$$.

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What is a prime factor?

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A prime factor is a factor that is a prime number, meaning it has no positive divisors other than 1 and itself.